The sum of the two prime numbers is 85. This is an odd number. According to the Rule, the sum of the even prime number and the odd prime number is called an odd number.
Answer:
Area=76.56 square feet
Step-by-step explanation:
area of a rectangle =base*height = 5ft*8ft= 40 square feet
area of a triangle=(base*height)/2 =(4ft*4ft)/2= 8 square feet
area of a square=base*height =4ft*4ft= 16 square feet
area of a circle =
* r^{2}[/tex]=3.14*
= 12.56 square feet
r = radius
Total area=(40+8+16+12.56)square feet
Total area=76.56square feet
Answer:
a) 95% confidence interval estimate of the true weight is (3.026, 3.274)
b) 99% confidence interval estimate of the true weight is (2.944, 3.356)
Step-by-step explanation:
Confidence Interval can be calculated using M±ME where
- M is the mean of five successive weightings (3.150)
- ME is the margin of error from the mean
And margin of error (ME) can be calculated using the formula
ME=
where
- t is the corresponding statistic in the given confidence level and degrees of freedom(t-score)
- s is the standard deviation of the random error (0.1)
Using the numbers 95% confidence interval estimate of the true weight is:
3.150±
≈3.150±0.124
And 99% confidence interval estimate of the true weight is:
3.150±
≈3.150±0.206
Step-by-step explanation:
A)
The length of the box is 30 − 2x inches.
The width of the box is 30 − 2x inches.
The height of the box is x inches.
So the volume is:
V = x (30 − 2x)²
B)
V(3) = 3 (30 − 6)² = 1728
V(4) = 4 (30 − 8)² = 1936
V(5) = 5 (30 − 10)² = 2000
V(6) = 6 (30 − 12)² = 1944
V(7) = 7 (30 − 14)² = 1792
As x increases, the volume of the box increases to a maximum and then decreases.
C)
The ends of the domain occur when V = 0.
0 = x (30 − 2x)²
x = 0 or 15
So the domain is (0, 15).
Answer:
$2.06 tax
Step-by-step explanation:
$24.99 pants
$27.05 total cost with tax
24.99 + tax = 27.05
tax = 27.05 - 24.99
27.05 - 24.99 = 2.06